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Notes -
Kolmogorov complexity is, IMO, a "cute" definition, but it's not constructive like the Shannon limit, and is a bit fuzzy on the subject of existing domain knowledge. For lossy compression, there is a function of how much loss is reasonable, and it's possible to expect numerically great performance compressing, say, a Hallmark movie because all Hallmark movies are pretty similar, and with enough domain knowledge you can cobble together a "passable" reconstruction with a two sentence plot summary. You can highly compress a given Shakespeare play if your decompression algorithm has the entire text of the Bard to pull from: "Hamlet," is enough!
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